PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application
This paper details the infinite dimensional dynamics of a prototype microfluidic thermal process that is used for genetic analysis purposes. Highly effective infinite dimensional dynamics, in addition to collocated sensor and actuator architecture, require the development of a precise control framew...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/767853 |
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| _version_ | 1832567568326459392 |
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| author | Reza Banaei Khosroushahi Horacio J. Marquez Jose Martinez-Quijada Christopher J. Backhouse |
| author_facet | Reza Banaei Khosroushahi Horacio J. Marquez Jose Martinez-Quijada Christopher J. Backhouse |
| author_sort | Reza Banaei Khosroushahi |
| collection | DOAJ |
| description | This paper details the infinite dimensional dynamics of a prototype microfluidic thermal process that is used for genetic analysis purposes. Highly effective infinite dimensional dynamics, in addition to collocated sensor and actuator architecture, require the development of a precise control framework to meet the very tight performance requirements of this system, which are not fully attainable through conventional lumped modeling and controller design approaches. The general partial differential equations describing the dynamics of the system are separated into steady-state and transient parts which are derived for a carefully chosen three-dimensional axisymmetric model. These equations are solved analytically, and the results are verified using an experimentally verified precise finite element method (FEM) model. The final combined result is a framework for designing a precise tracking controller applicable to the selected lab-on-a-chip device. |
| format | Article |
| id | doaj-art-20fb0a45383248d4ae147dc7402dba6c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-20fb0a45383248d4ae147dc7402dba6c2025-02-03T01:01:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/767853767853PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis ApplicationReza Banaei Khosroushahi0Horacio J. Marquez1Jose Martinez-Quijada2Christopher J. Backhouse3Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, CanadaElectrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, CanadaElectrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, CanadaElectrical and Computer Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaThis paper details the infinite dimensional dynamics of a prototype microfluidic thermal process that is used for genetic analysis purposes. Highly effective infinite dimensional dynamics, in addition to collocated sensor and actuator architecture, require the development of a precise control framework to meet the very tight performance requirements of this system, which are not fully attainable through conventional lumped modeling and controller design approaches. The general partial differential equations describing the dynamics of the system are separated into steady-state and transient parts which are derived for a carefully chosen three-dimensional axisymmetric model. These equations are solved analytically, and the results are verified using an experimentally verified precise finite element method (FEM) model. The final combined result is a framework for designing a precise tracking controller applicable to the selected lab-on-a-chip device.http://dx.doi.org/10.1155/2013/767853 |
| spellingShingle | Reza Banaei Khosroushahi Horacio J. Marquez Jose Martinez-Quijada Christopher J. Backhouse PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application Journal of Applied Mathematics |
| title | PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application |
| title_full | PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application |
| title_fullStr | PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application |
| title_full_unstemmed | PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application |
| title_short | PDE Modeling of a Microfluidic Thermal Process for Genetic Analysis Application |
| title_sort | pde modeling of a microfluidic thermal process for genetic analysis application |
| url | http://dx.doi.org/10.1155/2013/767853 |
| work_keys_str_mv | AT rezabanaeikhosroushahi pdemodelingofamicrofluidicthermalprocessforgeneticanalysisapplication AT horaciojmarquez pdemodelingofamicrofluidicthermalprocessforgeneticanalysisapplication AT josemartinezquijada pdemodelingofamicrofluidicthermalprocessforgeneticanalysisapplication AT christopherjbackhouse pdemodelingofamicrofluidicthermalprocessforgeneticanalysisapplication |